Question

Evaluate the expression and write the result in the form
a + bi.

(5 + 3i)(2 − i) over/3 + i

Answer 1

Solve it and Rationalise the Denominator ... :).

Answer 2

if i knew how to do that i wouldnt be asking lol

Answer 3

\[(5+3i)(2-i)=(10+3)+(6-5)i=13+i\]

Answer 4

so you have
\[\frac{13+i}{3+i}=\frac{13+i}{3+i}\times \frac{3-i}{3-i}\]

Answer 5

the denominator is
\[9+1=10\] and that is why you use this method

Answer 6

the numerator is
\[(13+i)(3-i)=40-10i\]

Answer 7

so you get
\[\frac{40-10i}{10}=4-i\]

Answer 8

so is the final answer 4-i

Answer 9

o ok good

Answer 10

that is what i got, yes